Question

根据x+1/x=a+1/a的解为x=a或x=1/a的规律,解分式方程x+1/(x-3)=8又1/5

Answer 1

因为 x + 1/x = a + 1/a的解为 x = a 或 x = 1/a

所以 x + 1/(x-3) = (x - 3) + 1/(x-3) = 8又1/5－3＝41/5 - 3 = 26/5 = 5 + 1/5

因此有 x - 3 = 5或 x - 3 = 1/5

解得 x = 8 或 x = 3又1/5